Cones, Tri-Sasakian Structures and Superconformal Invariance

TL;DR

This paper demonstrates that rigid N=2 superconformal hypermultiplets require their target manifolds to be cones over tri-Sasakian geometries, linking geometric structures to superconformal invariance and holographic dualities.

Contribution

It establishes a geometric characterization of N=2 superconformal hypermultiplet target spaces as cones over tri-Sasakian manifolds, connecting supersymmetry, geometry, and holography.

Findings

Target manifolds are cones over tri-Sasakian metrics.

Connection to cone-branes and AdS/CFT correspondence.

Constraints on hypermultiplet geometry from superconformal invariance.

Abstract

In this note we show that rigid N=2 superconformal hypermultiplets must have target manifolds which are cones over tri-Sasakian metrics. We comment on the relation of this work to cone-branes and the AdS/CFT correspondence.